In this page, I will post the solution of the problem in the An Introduction to Modern Astrophysics (second edition), written by Carroll & Ostlie. You can buy the book via https://www.amazon.com/Introduction-Modern-Astrophysics-2nd/dp/0805304029/ref=la_B000AQ4NZM_1_1?s=books&ie=UTF8&qid=1509340019&sr=1-1.
Carroll & Ostlie, An Introduction to Modern Astrophysics, Second Edition
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